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This paper has two parts. We first compute the leading contribution to the strong-coupling mixing between the Konishi operator and a double-trace operator composed of chiral primaries by using flat-space vertex operators for the…

High Energy Physics - Theory · Physics 2016-01-21 Joseph A. Minahan , Raul Pereira

In this note we construct vertex operators in effective string theory using the simplified covariant formalism, i.e. by embedding it in the Polyakov formalism supplemented by an anomaly term, and fixing to conformal gauge. These vertex…

High Energy Physics - Theory · Physics 2017-01-24 Simeon Hellerman , Shunsuke Maeda

We analyze correlation functions of Wilson loop observables and local vertex operators within the strong-coupling regime of the AdS/CFT correspondence. When the local operator corresponds to a light string state with finite conserved…

High Energy Physics - Theory · Physics 2015-06-04 Rafael Hernandez

We consider a semiclassical (large string tension ~ \lambda^1/2) limit of 4-point correlator of two "heavy" vertex operators with large quantum numbers and two "light" operators. It can be written in a factorized form as a product of two…

High Energy Physics - Theory · Physics 2011-03-18 E. I. Buchbinder , A. A. Tseytlin

We study three-point correlation functions of local operators in planar $\mathcal{N}=4$ SYM at weak coupling using integrability. We consider correlation functions involving two scalar BPS operators and an operator with spin, in the so…

High Energy Physics - Theory · Physics 2015-06-18 Pedro Vieira , Tianheng Wang

We reconsider the problem of determining the semiclassical 3-point function in the Euclidean AdS_3 model. Exploiting the affine symmetry of the model we use solutions of the classical Knizhnik-Zamolodchikov (KZ) equation to compute the…

High Energy Physics - Theory · Physics 2015-03-20 P. Bozhilov , P. Furlan , V. B. Petkova , M. Stanishkov

3-point correlators in AdS_5xS^5 string theory in which two states are "heavy" (have large quantum numbers) and the third is "light" (here chosen as chiral primary scalar) can be computed semiclassically in terms of the "light" vertex…

High Energy Physics - Theory · Physics 2011-02-16 J. G. Russo , A. A. Tseytlin

We give the derivation of the previously announced analytic expression for the correlation function of three heavy non-BPS operators in N=4 super-Yang-Mills theory at weak coupling. The three operators belong to three different su(2)…

High Energy Physics - Theory · Physics 2015-06-05 Ivan Kostov

The PP-wave/SYM proposal in its original form emphasizes a duality relation between the masses of the string states and the anomalous dimensions of the corresponding BMN operators in gauge theory, the mass--dimension type duality. In this…

High Energy Physics - Theory · Physics 2009-11-10 Chong-Sun Chu , Valentin V. Khoze

One of the most important problems in any conformal field theory is the calculation of three-point functions of primary operators. In this paper we provide explicit examples of correlators with two scalar operators in $\,{\cal N}=4$…

High Energy Physics - Theory · Physics 2015-12-09 D. Arnaudov , R. C. Rashkov

We construct an iterative procedure to compute the vertex operators of the closed superstring in the covariant formalism given a solution of IIA/IIB supergravity. The manifest supersymmetry allows us to construct vertex operators for any…

High Energy Physics - Theory · Physics 2009-11-10 P. A. Grassi , L. Tamassia

Extending the methods developed in our previous works (arXiv:1110.3949, arXiv:1205.6060), we compute the three-point functions at strong coupling of the non-BPS states with large quantum numbers corresponding to the composite operators…

High Energy Physics - Theory · Physics 2014-03-26 Yoichi Kazama , Shota Komatsu

We compute three-point functions between one large classical operator and two large BPS operators at weak coupling. We consider operators made out of the scalars of N=4 SYM, dual to strings moving in the sphere. The three-point function…

High Energy Physics - Theory · Physics 2015-06-03 Nikolay Gromov , Amit Sever , Pedro Vieira

Recently there has been progress on the computation of two- and three-point correlation functions with two "heavy" states via semiclassical methods. We extend this analysis to the case of AdS_4 x CP^3, and examine the suggested procedure…

High Energy Physics - Theory · Physics 2011-03-22 D. Arnaudov , R. C. Rashkov

We analyze the three-point vertex function that describes the coupling of fermionic particle-hole pairs in a metal to spin or charge fluctuations at non-zero momentum. We consider Ward identities, which connect two-particle vertex functions…

Strongly Correlated Electrons · Physics 2016-02-24 Peter Wölfle , Elihu Abrahams

Recently there has been progress on the calculation of three-point functions with two "heavy" operators via semiclassical methods. We extend this analysis to the case of the Lunin-Maldacena background, and examine the suggested procedure…

High Energy Physics - Theory · Physics 2013-05-29 D. Arnaudov , R. C. Rashkov

We consider operators in N=4 SYM theory which are dual, at strong coupling, to classical strings rotating in S^5. Three point correlation functions of such operators factorize into a universal contribution coming from the AdS part of the…

High Energy Physics - Theory · Physics 2015-05-30 Romuald A. Janik , Andrzej Wereszczynski

A particular analytic continuation of classical string solutions having a single AdS_5 spin is considered. These solutions describe strings tunnelling from the boundary to the boundary of AdS_5. We use the Legendre transform of the…

High Energy Physics - Theory · Physics 2015-09-22 George Georgiou

We analyze open string vertex operators describing connection gauge fields for spin 3 in Vasiliev's frame-like formalism and perform their extended BRST analysis. Gauge symmetry transformations, generalized zero torsion constraints relating…

High Energy Physics - Theory · Physics 2013-05-30 Seungjin Lee , Dimitri Polyakov

In this work, we calculate correlators of long strings on AdS$_3\times$S$^3\times$T$^4$ with pure NS-NS flux. We first construct physical vertex operators that correspond to long strings. Due to the GSO projection, they depend on the parity…

High Energy Physics - Theory · Physics 2025-04-29 Zhe-fei Yu , Cheng Peng